1002010106113 has 2 divisors, whose sum is σ = 1002010106114. Its totient is φ = 1002010106112.

The previous prime is 1002010106093. The next prime is 1002010106161. The reversal of 1002010106113 is 3116010102001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 998654452929 + 3355653184 = 999327^2 + 57928^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1002010106113 is a prime.

It is not a weakly prime, because it can be changed into another prime (1002010106413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501005053056 + 501005053057.

It is an arithmetic number, because the mean of its divisors is an integer number (501005053057).

Almost surely, 2^{1002010106113} is an apocalyptic number.

It is an amenable number.

1002010106113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002010106113 is an equidigital number, since it uses as much as digits as its factorization.

1002010106113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1002010106113 its reverse (3116010102001), we get a palindrome (4118020208114).

The spelling of 1002010106113 in words is "one trillion, two billion, ten million, one hundred six thousand, one hundred thirteen".